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Reseach Article

A New Approach to the Theory of Soft Sets

by Tridiv Jyoti Neog, Dusmanta Kumar Sut
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 32 - Number 2
Year of Publication: 2011
Authors: Tridiv Jyoti Neog, Dusmanta Kumar Sut
10.5120/3874-5415

Tridiv Jyoti Neog, Dusmanta Kumar Sut . A New Approach to the Theory of Soft Sets. International Journal of Computer Applications. 32, 2 ( October 2011), 1-6. DOI=10.5120/3874-5415

@article{ 10.5120/3874-5415,
author = { Tridiv Jyoti Neog, Dusmanta Kumar Sut },
title = { A New Approach to the Theory of Soft Sets },
journal = { International Journal of Computer Applications },
issue_date = { October 2011 },
volume = { 32 },
number = { 2 },
month = { October },
year = { 2011 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume32/number2/3874-5415/ },
doi = { 10.5120/3874-5415 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:18:04.874097+05:30
%A Tridiv Jyoti Neog
%A Dusmanta Kumar Sut
%T A New Approach to the Theory of Soft Sets
%J International Journal of Computer Applications
%@ 0975-8887
%V 32
%N 2
%P 1-6
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Molodtsov initiated the concept of soft set as a new mathematical tool for dealing with uncertainties. In 2003, Maji put forward several notions on Soft Set Theory. However, the axioms of exclusion and contradiction are not valid under the definition of complement of a soft set initiated by Maji. In this paper, we reintroduce the concept of complement of a soft set and show that the laws of exclusion and contradiction, Involution, De Morgan Inclusions and De Morgan laws are valid for soft sets with respect to our new definition of complement. We justify our claim with proof and examples.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Soft set Union Intersection Complement Complement